Clash of orthogonal circle
Posted: Mon Aug 08, 2016 2:29 am
$ABC$ triangle, $W_a$ is a circle with center on $BC$ passing through $A$ and orthogonal to circumcircle of $ABC$ . $W_b$ , $W_c$ are defined similarly. prove that center of $W_a$ , $W_b$ , $W_c$ are collinear. 